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Complete information about a Dirichlet character $\chi\colon \Z\to\C$ of modulus $q > 1$ is contained in the list of values $(\chi(1)=1,\ \chi(2),\ \chi(3),\ \dots,\ \chi(q-1),\ \chi(q)=0)$, each of which is a root of unity $e(r) := \exp({2 \pi i r}$), for some rational number $r$.

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• Review status: reviewed
• Last edited by Alina Bucur on 2018-07-04 17:23:36
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